Question

Which point is on the circle centered at the origin with a radius of 5 units? distance formula: (2,4.79 ) (2,4.58 ) (2, 1) (2, 3)

Answer 1

If a circle with center at the origin has a radius of 5, then it's equation is:
x² + y² = 5²

To test if a point lies on the circle, we substitute x and y and see if it equates to 5² or 25. Among the choices, only (2,4.58) result to 24.98 which is very close to 25. So, it is the only point that lies on the circle.